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Finding the Third Proportional to 86,730 and 189,174

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Solution

The third proportional to 86,730 and 189,174 is: 412,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,730 : 189,174 = 189,174 : x
  2. Step 2: Convert to fraction form
    86,730/189,174 = 189,174/x
  3. Step 3: Cross multiply
    86,730x = 189,174 × 189,174
  4. Step 4: Simplify right side
    86,730x = 35,786,802,276
  5. Step 5: Solve for x
    x = 35,786,802,276/86,730
  6. Step 6: Final answer
    x = 412,623.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.